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18 October, 08:33

Find the value of x^3 + y^3 - 12xy + 64 when x + y = (-4)

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  1. 18 October, 09:02
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    Step-by-step explanation:

    Using the algebraic expansion

    x³ + y³ = (x + y) ³ - 3xy (x + y)

    Given

    x³ + y³ - 12xy + 64

    = (x + y) ³ - 3xy (x + y) - 12xy + 64

    Substitute x + y = - 4 into the expression

    = ( - 4) ³ - 3xy ( - 4) - 12xy + 64

    = - 64 + 12xy - 12xy + 64

    = 0
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